are the expressions -3^2 and (-3) ^2 equivalent? explain

Answer:

[tex]2\sqrt{10}[/tex]

Step-by-step explanation:

we can take 4 out of 40 and when you take it out it gets turned into a 2 so its 2 sqrt 10

When t = 4, the expression 3⋅2ᵗ evaluates to 48.

Any mathematical statement with variables, numbers, and an arithmetic operation between them is called an expression or an algebraic expression. For instance, the expression 4m + 5 has the terms 4m and 5 as well as the variable m of the given expression, all of which are separated by the arithmetic sign +.

An expression consists of one or more numbers or variables along with one more operation.

When t=4, the expression 3⋅2ᵗ evaluates to:

3⋅2⁴ = 3⋅16 = 48

Hence, when t = 4, the expression 3⋅2ᵗ evaluates to 48.

To learn more about expression, Visit

https://brainly.com/question/1859113

#SPJ1

The total marginal cost of using 8 bottles is $8.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Marginal utility of 1 bottle of Gatorade costs =  1$

Now,

The total marginal cost of using 8 bottles.

= 8 x $1

= $8

Thus,

The total marginal cost of using 8 bottles is $8.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

The complete question:

Marginal utility of 1 bottle of Gatorade that costs 1$.

Find the total marginal cost for using 8 bottles of Gatorade.

The price of each bagel sold when 312 bagels are sold and $280.80 earned  is $ 0.9.

One of the four basic mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups.

The number of bagels sold = 312

The total money earned by selling 312 bagels = $ 280 . 80

The price for each bagel,

[tex]=\frac{total money earned}{number of bagels sold} \\\\=\frac{280.80}{312} \\\\=$0.9[/tex]

So, the price of each bagel sold is $ 0.9.

lean more about division, visit:

https://brainly.com/question/21416852

#SPJ1

The solution of the inequality is:

-9 ≤ x < 14

And the graph can be seen on the image at the end.

Here we want to solve the inequality:

-8 ≤ x + 1 < 15

To solve this, we need to isolate the variable, if we subtract 1 un all the parts we will get.

-8 - 1 ≤ x< 15 - 1

-9 ≤ x < 14

To graph this we need to draw a closed circle at x = -9 and a line that extends to the right, until it ends at an open cirlce at x = 14.

The graph is below.

Learn more about inequalities at:

https://brainly.com/question/24372553

#SPJ1

Answer:

1) -3^5 + 7x^4 - 15x^2 + 8x + 13

2) 12x^5 + 8x^3 - 2x^2 + 3

3) 9x^2 - 4x + 11

4) 8x^2 + 6x + 11

5) -32a + 12b - 3c

-3^5 + 2x^4 - 7x^2 + 8x + 9 + 5x^4 - 8x^3 + 10x^2 - 3x + 4

Combining like terms, we get:

-243 + 7x^4 - 8x^3 + 3x^2 + 5x + 13

9x^5 + 3x^2 - 6 + 2x^4 + 5x^3 - 4x^2

Combining like terms, we get:

9x^5 + 2x^4 + 5x^3 - x^2 - 6

3x^2 - 6 - 4x^2 + 7x^2 - 4x+11

Combining like terms, we get:

6x^2 - 4x + 5

-2x^2 + 10x^2 - 3x - 4x + 11

Combining like terms, we get:

8x^2 - 7x + 11

-19a + 7b - 8c + 5a - 32b + 23c - 22a + 5b - 20c

Combining like terms, we get:

-36a - 25b - 5c

By calculating the distance we know that the PR measures 198.94 ft to the nearest foot.

Distance is the sum of an object's movements, regardless of direction.

The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.

The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

So, the triangles PRE and POC appear to be comparable triangles in the diagram.

Let PR = x.

Utilizing the similarity theorem:

PR/RE = PR+RO/OC

x/135 = (x+140)/230

Now, cross multiply as follows:

230x = 135(x+ 140)

230x = 135x + 18,900

230x - 135x = 18,900

95x = 18900

x =18900/95

x = 198.94

Therefore, by calculating the distance we know that the PR measures 198.94 ft to the nearest foot.

Know more about the distance here:

https://brainly.com/question/26550516

#SPJ1

Correct question:

To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.

In statistics, n is used to denote sample size. This gives the total number of participants under study.

In statistics, n is defined as the sample size. It refers to the total number of participants or the total number of observations that are included in a study. This size of the sample is drawn from the given population. This value is important because this directly influences the research study.

This sample size is affected by study design, standard deviation, sampling method, significance level, and study power. For example, you have to determine the mineral concentration in different types of soil. For this, you are taking 5 different soil samples. Here, the sample size is 5.

To know more about sample size:

https://brainly.com/question/28651174

#SPJ4

The statements that are true about object-oriented analysis are: b) Control classes receive or handle system events, c) encapsulate behavior of use case, d) implement the controller pattern.

Object-oriented analysis and design (OOAD) is a technical method for analyzing and planning an application, system, or business using object-oriented programming and visual modeling to direct stakeholder communication and product quality throughout the software development process.

Modern software engineering practices typically involve iterative, incremental OOAD. Analysis models for OOA and design models for OOD are the byproducts of OOAD activities, respectively. The goal is for these to continuously improve and change, guided by important factors like risks and business value.

To learn more about object-oriented analysis: https://brainly.com/question/30551374

#SPJ4

Note that the full question is:

Which statements are true about control classes in object-oriented analysis? Select all that apply.

a) Control classes manage data structures.

b) Control classes receive or handle system events.

c) Control classes encapsulate behavior of use case.

d) Control classes implement the controller pattern.

The surface area of the right rectangular prism is 652 ft²

The surface area of a right rectangular prism is expressed as;

SA = 2( wl + hl + hw )

From the diagram;

Plug the values into the above formula and solve for the surface area.

SA = 2( wl + hl + hw )

SA = 2( (7×8) + (18×8) + 18×7 )

Simplify

SA = 2( 56 + 144 + 126 )

SA = 2( 326 )

SA = 652 ft²

Therefore, the surface area of the prsim is 652 ft².

Learn about volume of a rectangular prism here: https://brainly.com/question/9796090

#SPJ1

The vertex form of a quadratic function is given by:

f(x) = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

Since the graph of f(x) = x^2 was translated 6 units to the left to create the graph of g, the vertex of g is at the point (h - 6, k).

The vertex of f(x) = x^2 is at (0, 0), so the vertex of g is at (-6, 0).

Since the vertex is at (-6, 0), the equation of g in vertex form is:

g(x) = a(x + 6)^2 + 0

We can find the value of "a" by using another point on the parabola. For example, if we know that g(-3) = 9, then we can substitute these values into the equation and solve for "a":

9 = a(-3 + 6)^2

9 = 9a

a = 1

So the equation of g in vertex form is:

g(x) = (x + 6)^2

Using the triangle inequality theorem, the combination of side lengths, in cm, that could make a triangle for the quilt are:

12, 35, 37

16, 30, 34

20, 21, 29

The Triangle Inequality Theorem is a fundamental theorem in geometry that states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

More formally, given a triangle with sides a, b, and c, the Triangle Inequality Theorem states:

a + b > c

b + c > a

a + c > b

If any of these inequalities is not true, then the three sides cannot form a triangle.

Using the Triangle Inequality Theorem, we can check which of these sets of numbers can form the sides of a triangle:

For the first set of numbers (12, 35, 37):

12 + 35 > 37 (True)

35 + 37 > 12 (True)

12 + 37 > 35 (True)

Therefore, the numbers 12, 35, and 37 can form the sides of a triangle.

For the second set of numbers (16, 30, 34):

16 + 30 > 34 (True)

30 + 34 > 16 (True)

16 + 34 > 30 (True)

Therefore, the numbers 16, 30, and 34 can form the sides of a triangle.

For the third set of numbers (18, 24, 42):

18 + 24 > 42 (False)

24 + 42 > 18 (True)

18 + 42 > 24 (True)

Therefore, the numbers 18, 24, and 42 cannot form the sides of a triangle.

For the fourth set of numbers (20, 21, 29):

20 + 21 > 29 (True)

21 + 29 > 20 (True)

20 + 29 > 21 (True)

Therefore, the numbers 20, 21, and 29 can form the sides of a triangle.

Learn more about the triangle inequality theorem on:

https://brainly.com/question/309896

#SPJ1

Answer:

Step-by-step explanation:

If the coffee tastes like mud, it may be due to several reasons:

Overbrewing: If the coffee is brewed for too long or with too much coffee grounds, it can result in a bitter taste, and it may have a muddy texture.

Dirty equipment: Dirty coffee makers or dirty coffee cups can cause the coffee to taste like mud. Residual coffee oils, grounds, or bacteria can create an unpleasant taste.

Old coffee beans: Coffee beans that have been stored for too long or have expired can lose their flavor, making the coffee taste stale and muddy.

Poor quality water: The quality of water used to brew coffee can significantly affect its taste. Hard water, which has high mineral content, can give the coffee a muddy taste.

Poor quality coffee beans: Using low-quality coffee beans can result in a muddy taste. Coffee beans that are not roasted correctly or not freshly roasted can also create an unpleasant taste.

Ground coffee storage: If the ground coffee is not stored correctly, it can absorb moisture and other flavors in the air, resulting in a muddy taste.

To avoid a muddy taste in coffee, it is essential to use high-quality beans, grind the beans freshly, use clean equipment, and follow the proper brewing instructions. By doing so, one can enjoy a flavorful and satisfying cup of coffee.

The value 0.9375 as a fraction is 15/16 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

0.9375*100/100 = 15/16

know more about fraction click here;

brainly.com/question/6201432

#SPJ4

Answer: To solve for A in the equation -BA + g² = MA, we can start by isolating the A variable on one side of the equation.

We can start by adding BA to both sides of the equation:

-BA + BA + g² = MA + BA

Simplifying the left side by cancelling the -BA and +BA terms:

g² = MA + BA

Next, we can factor out the A variable from the right side:

g² = A(M + B)

Finally, we can divide both sides by (M + B) to isolate the A variable:

g² / (M + B) = A

So the solution for A is:

A = g² / (M + B)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) If you face south and turn anti-clockwise to east, you'd have turned a right angle ( one 90° turn).

(b) If you turn clockwise from east to east again, you'd have completed a revolution or 360° (or 4 right angles)

(c) From west clockwise to south, you'd have turned 90° to north, another 90° to east and 90° to south making 3 right angles or 270°.

Hope these help! :)

The rate of the canoe in still water is 5 miles per hour, and the rate of the current is 1 mile per hour.

Let's use the letters "c" for the canoe's speed in still water and "r" for the current's speed. The formula is as follows:

Rate times distance

establishing two equations, one for the upstream trip and one for the downstream trip.

Trip downstream:

12 miles is the distance.

rate = c plus r. (since the current is helping them)

t = two hours

We thus have:

12 = (c + r) × 2

When we simplify this equation, we obtain:

6 = c + r

Trip upstream:

12 miles is the distance.

rate equals c-r (since they are now going against the current)

three hours.

We thus have:

12 = (c - r) × 3

When we simplify this equation, we obtain:

4 = c - r

There are now two equations:

6 = c + r

4 = c - r

By combining the two equations, we may find the value of one of the variables:

6 + 4 = 2c

If we simplify, we get:

10 = 2c

When you divide both sides by 2, you get:

c = 5

To solve for the other variable, we may now re-insert this value into one of the equations. Let's apply the formula:

6 = c + r

With c = 5, we obtain:

6 = 5 + r

5 is subtracted from both sides to yield:

r = 1

In still water, the canoe moves at a rate of 5 miles per hour, while the current moves at a rate of 1 mile per hour.

To know more similar question visit:

https://brainly.com/question/13000535

#SPJ1

Answer and Step-by-step explanation:

To graph the equation with a slope of -2 and a y-intercept of 6, we can use the slope-intercept form of the equation of a line, which is:

y = mx + b

where m is the slope and b is the y-intercept.

Substituting in the given values, we get:

y = -2x + 6

To graph this line, we can start by plotting the y-intercept, which is the point (0, 6). Then, we can use the slope to find additional points on the line. The slope of -2 means that for every increase of 1 in the x-direction, the y-value decreases by 2. So, we can plot another point by starting at the y-intercept and moving down 2 units and to the right 1 unit. This gives us the point (1, 4). We can continue this pattern to plot more points and draw the line.

Here's what the graph looks like:

Step-by-step explanation:

We are given the slope -2 and the y intercept -6. So we can create a linear equation using this data:

[tex]y=-2x+6[/tex]

Now all we have to do is graph it.

(graph below)

A null space calculator finds the null space of a matrix used in linear algebra.

An invalid space mini-computer is a web-based instrument used to track down the invalid space, otherwise called the portion, of a framework. The invalid space of a framework is the arrangement of all vectors that fulfill the condition Ax= 0, where An is the lattice and x is the vector of questions. The invalid space can be utilized to decide if an arrangement of straight conditions is steady or not, and to find the reason for the arrangement space. An internet based invalid space number cruncher permits clients to enter a network and get the invalid space, as well as different properties like the position, determinant, and eigenvalues of the framework. This can be helpful for understudies and experts in fields like science, physical science, and designing who need to address frameworks of straight conditions and dissect the properties of networks.

To learn more about null space, refer:

https://brainly.com/question/29975914

#SPJ4

Answer:

24 : 8

Step-by-step explanation:

24/4 is equal to 6

8/4 is equal to 2

Answer:

24:8

Step-by-step explanation:

The easiest way to do these kinds of problems is by doing some simple division.  Usually you only need to look at the first number, which in this case is 6, and see if any numbers can be divided by this number.  The first ratio is 24:8, and since the other first number can't be divisible by 6, we know the answer is 24:8

Answer:23/10

Step-by-step explanation:

you move the comma and  how many times you have to move it is how many zeros in the denominator

Answer:

Below

Step-by-step explanation:

First ball 1        then second ball makes  2 3 4

First ball2         then second makes a        3 4 5

First ball 3       then second makes a             4 5 or 6

  you can see that '4' is the most likely

The length of 75cm converting to inches is 29.53 inches.

The inch is a unit of length commonly used in the United States, the United Kingdom, and some other countries. It can be calculated by using the conversion factor of 1 inch being equal to 2.54 centimeters.

Understanding conversions between different units of measurement is crucial in various fields such as science, engineering, and mathematics. Therefore, to convert centimeters to inches, we need to divide the number of centimeters by 2.54.

In this case, 75 cm divided by 2.54 results in 29.53 inches.

The length of 75 cm is equivalent to approximately 29.53 inches.

To know more about length:

brainly.com/question/22059747

#SPJ4

Answer:

86.1825503

Step-by-step explanation:

190lbs to kg is 86.1825503

Answer:

BD = 2.4

Step-by-step explanation:

see your other posting for details explanation

Answer:  A

Step-by-step explanation:

Benny's Pizza

13.60 + 2.50(3)

13.60 + 7.50

21.10

Ricco's Pizza

14.60 + 2(3)

14.60 + 6

21.60

43% of the total trip had they travelled when Tallulah fell asleep

percentage, a relative value indicating hundredth parts of any quantity.

Given that Tallulah's family took a road trip to the Grand Canyon.

Tallulah slept for the last 129 miles of the trip.

the total length of the trip was 300 miles

We have to find the percentage of the total trip had they travelled when Tallulah fell asleep

x/100×300=129

3x=129

Divide both sides by 3

x=43%

Hence, 43% of the total trip had they travelled when Tallulah fell asleep

To learn more on Percentage click:

https://brainly.com/question/28269290

#SPJ1

Answer: $1.9

Step-by-step explanation: